Finding the Fourth Proportional to 13,870.17, 19,140.75 and 7,582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,870.17 : 19,140.75 = 7,582.50 : x
2. Step 2: Convert to fraction form
   13,870.17/19,140.75 = 7,582.50/x
3. Step 3: Cross multiply
   13,870.17x = 19,140.75 × 7,582.50
4. Step 4: Simplify right side
   13,870.17x = 145,134,736.88
5. Step 5: Solve for x
   x = 145,134,736.88/13,870.17
6. Step 6: Final answer
   x = 10,463.80